I'm crossing my fingers that they will do a handover scene later. Correct me if I'm wrong but isn't the actual Batman title still at 5 years ago? I can easily imagine that they will show the handover when they snap back to now.

Everything else is set in the present - Batman especially doesn't need a 'set in the past' series, since he's not gotten a significant change in his status quo. (And if they were to give him one, it probably would have been Detective.)

Batman is current day. Snyder intends to play with some of the same themes that he and Higgins started in 'Gates of Gotham'. I expect a heavy emphasize on Gotham's past but the comic is definitely set in Gotham's present rather than 5 years in the past like Justice League and Action comics.

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